Initial conditions for smooth hybrid inflation

Lazarides, George; Panagiotakopoulos, C.; Vlachos, N.D.

doi:10.1103/physrevd.54.1369

Cited by 59 publications

(69 citation statements)

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“…As will be shown shortly, the spectral index runs from n s > 1 on a large scale to n s < 1 on a smaller scale without resorting to the one-loop effects unlike our previous models [4,8]. Another merit of this scenario is that it can be realized with natural initial conditions in minimal supergravity [21]. We find, however, that we cannot yield large enough e-folds of inflation with large enough running of the spectral index whichever power of the nonrenormalizable term we may choose.…”

Section: +0028mentioning

confidence: 98%

Smooth hybrid inflation in supergravity with a running spectral index and early star formation

Yamaguchi

Yokoyama

2004

Phys. Rev. D

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It is shown that in a smooth hybrid inflation model in supergravity adiabatic fluctuations with a running spectral index with n s > 1 on a large scale and n s < 1 on a smaller scale can be naturally generated, as favored by the first-year data of WMAP. It is due to the balance between the nonrenormalizable term in the superpotential and the supergravity effect. However, since smooth hybrid inflation does not last long enough to reproduce the central value of observation, we invoke new inflation after the first inflation. Its initial condition is set dynamically during smooth hybrid inflation and the spectrum of fluctuations generated in this regime can have an appropriate shape to realize early star formation as found by WMAP. Hence two new features of WMAP observations are theoretically explained in a unified manner.

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Section: +0028mentioning

confidence: 98%

Smooth hybrid inflation in supergravity with a running spectral index and early star formation

Yamaguchi

Yokoyama

2004

Phys. Rev. D

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“…In the case of β = 2 or 4, the form of the potential in (2.6) is similar to the potentials led from some mutated hybrid inflationary models [19,20]. It is worthwhile to point out that the potential in (2.6) is also motivated by the brane inflation [21][22][23].…”

Section: Generalizing the Inverse Power Law Potentialmentioning

confidence: 71%

Inflation in the generalized inverse power law scenario

Lü

2013

J. Cosmol. Astropart. Phys.

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Abstract. We propose a single field inflationary model by generalizing the inverse power law potential from the intermediate model. We study the implication of our model on the primordial anisotropy of cosmological microwave background radiation. Specifically, we apply the slow-roll approximation to calculate the scalar spectral tilt n s and the tensor-to-scalar ratio r. The results are compared with the recent data measured by the Planck satellite. We found that by choosing proper values for the parameters, our model can well describe the Planck data.

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“…In this and next smooth cases, φ and φ have vevs during the inflation phase and monopoles are diluted away. However, in this section, we consider a simpler model, smooth hybrid inflation model [45] in the context of the orbifold GUT model discussed in the previous section. For this purpose, we introduce a singlet chiral superfield S as before.…”

Section: Confrontation With Cosmology-smooth Hybrid Inflationmentioning

confidence: 99%

“…Needless to say, this singlet field causes no change for the gauge coupling unification. Let us consider the superpotential for the smooth hybrid inflation [45] 5 , under (2.201). SUSY vacuum conditions lead to non-zero VEVs for φ = φ = √ µM , by which the PS symmetry is broken down to the SM one, and thus…”

Section: Confrontation With Cosmology-smooth Hybrid Inflationmentioning

confidence: 99%

“…Hybrid inflation [39] [40] [41] solves the above problem but gives rise to monopole problem in the original form. Variants of hybrid inflation, in particular, applicable to SUSY GUT models have been proposed: standard [42], shifted [43] and smooth [45] hybrid inflation models. Some of these models are based on the SUSY PS model with one singlet and Higgs multiplets (4, 1, 2) ⊕ (4, 1, 2) whose VEVs break the PS symmetry to the SM one.…”

Section: Introductionmentioning

confidence: 99%

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So(10) Gut in Four and Five Dimensions: A Review

Fukuyama

2013

Int. J. Mod. Phys. A

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We review SO(10) grand unified theories (GUTs) in four and five dimensions (4D and 5D). The renormalizable minimal SO(10) SUSY GUT is the central theme of this review. It is very predictive and makes it possible to construct all mass matrices including those of the Dirac and heavy right-handed Majorana neutrinos. So it is not only able to reproduce all the low energy data, except for too larger θ 13 in the lepton mixing angles (which can be evaded without spoiling the basic ingredients), but also predicts almost all new physics beyond the standard model (SM) like neutrinoless double beta decay, the electric and magnetic dipole moments of the quark-lepton, lepton flavour violation, leptogenesis etc. To be very predictive, on the other hand, implies that predictions are unambiguous and they are always exposed to severe compatibilities with observations as well as to a conceptual consistency check. The explicit construction of the Higgs superpotential and the explicit display of a symmetry breaking pattern from GUT to the SM show that the naive desert from the SM to GUT in the minimal supersymmetric standard model (MSSM) is a too simplified concept and we have many definitely determined intermediate energy scales in general. This situation destroys the naive gauge coupling unification in the MSSM scheme. Also the precise measurements of neutrino oscillation data have revealed several small but manifest mismatches with our predictions. Also there are arguments that it is impossible to construct a GUT theory in 4D with a finite number of multiplets that leads to the MSSM with a residual R symmetry. Of course, there are several loopholes which solve these problems in 4D. However, if we try to solve all these pathologies comprehensively, it is very attractive for us to go into extra dimensions. Extra dimension may be either warped or flat. The fifth dimension, for simplicity, is compactified on the S 1 /(Z 2 ) (warped) or on the S 1 /(Z 2 × Z ′ 2 ) (flat) orbifold with two inequivalent branes at the orbifold fixed points. In the former warped case, intermediate energy scales are translated with the positions of Higgs fields in the bulk and the fundamental scheme of the MSSM is recovered. On the other hand, in the latter flat scenario, all matter and Higgs multiplets reside on the Pati-Salam (PS) brane where the PS symmetry is manifest. There the original renormalizablity in Yukawa coupling is broken but its essential structures of mass matrices in minimal SO(10) GUT in 4D is promoted to the PS invariant action in 4D. In the gaugino mediation mechanism, the SO(10) gauge multiplet is transmitted to the PS brane through the gaugino mediation with bulk gauge multiplet. Further breaking of the PS gauge group to the SM group is realized by VEVs of the Higgs multiplets (4, 1, 2) ⊕ (4, 1, 2). We show that this model not only cures all pathologies in SO(10) GUT in 4D but also provides the consistent inflation scenario and dark matter candidate and leptogenesis. The gauge coupling unification is successfully realized at ...

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Initial conditions for smooth hybrid inflation

Cited by 59 publications

References 3 publications

Smooth hybrid inflation in supergravity with a running spectral index and early star formation

Smooth hybrid inflation in supergravity with a running spectral index and early star formation

Inflation in the generalized inverse power law scenario

So(10) Gut in Four and Five Dimensions: A Review

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